论文标题

循环覆盖椭圆表面纤维的自动形态群的界限

Bounds for the order of automorphism groups of cyclic covering fibrations of an elliptic surface

论文作者

Akaike, Hiroto

论文摘要

我们研究了有限循环的纤维表面的纤维表面的自动形态组,以覆盖椭圆表面的纤维。我们根据纤维的属,基本曲线的属,覆盖率和相对规范除数的平方来估计自动形群有限亚组的顺序。

We study automorphism groups of fibered surfaces for finite cyclic covering fibrations of an elliptic surface. We estimate the order of a finite subgroup of automorphism groups in terms of the genus of the fiber, the genus of the base curve, the covering degree and the square of the relative canonical divisor.

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